Finding the Third Proportional to 31,208 and 71,252

Step by Step Solution

1. Step 1: Write the proportion equation
   31,208 : 71,252 = 71,252 : x
2. Step 2: Convert to fraction form
   31,208/71,252 = 71,252/x
3. Step 3: Cross multiply
   31,208x = 71,252 × 71,252
4. Step 4: Simplify right side
   31,208x = 5,076,847,504
5. Step 5: Solve for x
   x = 5,076,847,504/31,208
6. Step 6: Final answer
   x = 162,677.76